Math Problem Statement

Brianna and Ivan are watching a ball roll down a curved track. The track has three sections: It starts with a steep downhill slope, then levels out in the middle, and ends with a gentle uphill slope. Brianna and Ivan draw a simple diagram of the track:

How does the ball's speed most likely change as it moves from section A to section B? (section A is the steep downhill slope and section A is the leveling out in the middle(stationary speed))

A. The speed increases

Solution

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Math Problem Analysis

Mathematical Concepts

Physics of Motion
Kinematics
Gravity
Friction

Formulas

Speed = Distance / Time
Kinetic Energy = 1/2 * m * v^2
Newton's Second Law: F = ma

Theorems

Law of Conservation of Energy
Newton's Laws of Motion

Suitable Grade Level

Grades 6-8